<p>In this article, we show the existence of the line integral in the bicomplex version, in the more general case that the bicomplex curve and the bicomplex function being integrated along the curve are not necessarily differentiable.</p>

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The line integral of a \({\mathbb{B}\mathbb{C}}\)-valued continuous function along a \({\mathbb{B}\mathbb{C}}\)-continuous curve

  • Panagiotis N. Koumantos

摘要

In this article, we show the existence of the line integral in the bicomplex version, in the more general case that the bicomplex curve and the bicomplex function being integrated along the curve are not necessarily differentiable.